What is the Greatest Common Factor of 31652 and 31661?

Greatest common factor (GCF) of 31652 and 31661 is 1.

GCF(31652,31661) = 1

We will now calculate the prime factors of 31652 and 31661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31652 and 31661.

How to find the GCF of 31652 and 31661?

We will first find the prime factorization of 31652 and 31661. After we will calculate the factors of 31652 and 31661 and find the biggest common factor number .

Step-1: Prime Factorization of 31652

Prime factors of 31652 are 2, 41, 193. Prime factorization of 31652 in exponential form is:

31652 = 2² × 41¹ × 193¹

Step-2: Prime Factorization of 31661

Prime factors of 31661 are 7, 4523. Prime factorization of 31661 in exponential form is:

31661 = 7¹ × 4523¹

Step-3: Factors of 31652

List of positive integer factors of 31652 that divides 31652 without a remainder.

1, 2, 4, 41, 82, 164, 193, 386, 772, 7913, 15826

Step-4: Factors of 31661

List of positive integer factors of 31661 that divides 31652 without a remainder.

1, 7, 4523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31652 and 31661. The biggest common factor number is the GCF number.
So the greatest common factor 31652 and 31661 is 1.

Also check out the Least Common Multiple of 31652 and 31661